Neumann problems of 2D Laplace's equation by method of fundamental solutions
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DOI: 10.1016/j.apnum.2017.04.004
Abstract: Abstract The method of fundamental solutions (MFS) was first used by Kupradze in 1963 [21] . Since then, there have appeared numerous reports of the MFS. Most of the existing analysis for the MFS are… read more here.
Keywords: fundamental solutions; analysis; method fundamental; problems laplace ... See more keywords
Uniqueness of positive solutions to some nonlinear Neumann problems
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DOI: 10.1016/j.jmaa.2017.06.006
Abstract: Abstract Using the moving plane method, we obtain a Liouville type theorem for nonnegative solutions of the Neumann problem { div ( y a ∇ u ( x , y ) ) = 0 ,… read more here.
Keywords: uniqueness positive; solutions nonlinear; nonlinear neumann; positive solutions ... See more keywords
Some existence theorems for semilinear Neumann problems with Landesman-Lazer condition revisited
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DOI: 10.2298/fil2002339m
Abstract: In this paper, existence theorems are established for Neumann problems for semilinear elliptic equations at resonance together with Landesman-Lazer condition revisited. Our existence results follow as an application of the Saddle point Theorem together with… read more here.
Keywords: lazer condition; existence; condition revisited; landesman lazer ... See more keywords